Solve the absolute value inequality 4 2x 6 adding 6 on both

Solve the absolute value inequality 4<|2x-6| interval notation

Solution

4 < | 2x - 6 |

clearing absolute value bars

4 < 2x - 6 or -4 > 2x - 6

adding 6 on both sides

10 < 2x    or    2 > 2x

dividing both sides by 2

5 < x    or    1 > x

solution is ( - infinity , 1 ) U ( 5 , infinity )